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Finding the Third Proportional to 228,001.50 and 342,123

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Solution

The third proportional to 228,001.50 and 342,123 is: 513,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,001.50 : 342,123 = 342,123 : x
  2. Step 2: Convert to fraction form
    228,001.50/342,123 = 342,123/x
  3. Step 3: Cross multiply
    228,001.50x = 342,123 × 342,123
  4. Step 4: Simplify right side
    228,001.50x = 117,048,147,129
  5. Step 5: Solve for x
    x = 117,048,147,129/228,001.50
  6. Step 6: Final answer
    x = 513,365.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.